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9. Sequence and Series
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Q19 of 28 Page 9

Find the sum to n terms of the series:

Let Tr be the rth term of the given series. Then,



Where r = 1,2,3, …… , n






, r = 1,2,3,….


Let Sn be the sum to n terms of the given series. Then,







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17

The sum of three numbers in A.P. is 12, and the sum of their cubes is 288. Find the numbers.

18

Find the sum upto n terms of the series 12+(12+22)+(12+22+32)+…….

20

If S1,S2,S3 are the sums of first n natural numbers, their squares, their cubes respectively. Show that 9S22=S3(1+8S1)

21

The product of three numbers in G.P. is 216. If 2, 8, 6 be added to them, the results are in A.P. Find the numbers.

Questions · 28
9. Sequence and Series
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